Using the Triangle Inequality Theorem (see picture above), determine the length of the third side of the triangle.

A. side x equals 1m
B. Side x equals 2m
C. side xequals 13m

B. Side x equals 2m

Explanation: According to the Triangle Inequality Theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

In this case, the sum of the length of side x (2m) and the length of side 10m is 12m. Since 12m is greater than the length of side 8m, the triangle is valid.

Therefore, the length of the third side (x) must be 2m.